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Stochastic Porous Media Equations

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概要 Focusing on stochastic porous media equations, this book places an emphasis on existence theorems, asymptotic behavior and ergodic properties of the associated transition semigroup. Stochastic perturb...ations of the porous media equation have reviously been considered by physicists, but rigorous mathematical existence results have only recently been found. The porous media equation models a number of different physical phenomena, including the flow of an ideal gas and the diffusion of a compressible fluid through porous media, and also thermal propagation in plasma and plasma radiation. Another important application is to a model of the standard self-organized criticality process, called the "sand-pile model" or the "Bak-Tang-Wiesenfeld model". The book will be of interest to PhD students and researchers in mathematics, physics and biology.続きを見る
目次 Foreword
Preface
Introduction
Equations with Lipschitz nonlinearities
Equations with maximal monotone nonlinearities
Variational approach to stochastic porous media equations
L1-based approach to existence theory for stochastic porous media equations
The stochastic porous media equations in Rd
Transition semigroups and ergodicity of invariant measures
Kolmogorov equations
A Two analytical inequalities
Bibliography
Glossary
Translator’s note
Index.
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本文を見る Full text available from Springer Lecture Notes in Mathematics eBooks
Full text available from Springer Mathematics and Statistics eBooks 2016 English/International

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登録日 2020.06.27
更新日 2020.06.28